Affine variety

Hi
Is there any commands for writing affine variety (Let k be a field, and let f1,...,fs be polynomials in k[ x1,...,xn]. Then we set
V(f1,...,fs)= { (a1,...,an) ? k^n : fi (a1,...,an)=0 for all 1 ?i?s } we call V(f1,...,fs) the affine variety defined by f1,...,fs ) ?

Also how can I drew an affine variety plane such as V(x^2- y^2*z^2+ z^3) ?